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The number 47428

47428 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 71 × 167. Divisors (12): 1, 2, 4, 71, 142, 167, 284, 334, 668, 11857, 23714, 47428.

Number

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How to work it out

  1. 1

    47428 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    47428 is composite. Its prime factorisation is

    47428=22×71×16747428 = 2^{2} \times 71 \times 167
  3. 3

    The divisors add up to 84672; without 47428 itself that is 37244, so 47428 is deficient (37244 is less than 47428). Euler's totient φ(47428) = 23240 numbers up to 47428 share no factor with it.

  4. 4

    The digits of 47428 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 189 steps to reach 1.

LaTeX source of the formulas on this page
\[ 47428 = 2^{2} \times 71 \times 167 \]

47428 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors84672
Euler totient φ(n)23240
Square2249415184
Cube106685263346752
Square root217.779705 (= 2√11857)
Digit sum / digital root25 / 7
Collatz steps to 1189
Scientific notation4.7428 × 10410^{4}

47428 in other forms

FormValue
In wordsforty-seven thousand four hundred and twenty-eight
Binary (base 2)1011100101000100
Octal (base 8)134504
Hexadecimal (base 16)B944
Base 32102001121
As time47428 seconds = 13 h 10 min 28 s

Is 47428 divisible by 2 to 12?

DivisorAnswerRule
2Yes (47428 ÷ 2 = 23714)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 1)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (47428 ÷ 4 = 11857)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 3)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 3)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8No (remainder 4)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 8)A number is divisible by 10 if the last digit is 0.
11No (remainder 7)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 47428 a prime number?

No. 47428 = 222^{2} × 71 × 167, so it is divisible by 2.

What are the factors of 47428?

1, 2, 4, 71, 142, 167, 284, 334, 668, 11857, 23714, 47428.

What is 47428 in binary?

1011100101000100 (hexadecimal B944, octal 134504).

What is the square root of 47428?

About 217.7797, exactly 2√11857.

Is 47428 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 47428?

It is a composite number with 12 divisors.

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    47428: is it prime? Factors, square root, binary, Roman numeral | WordGPT